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Volumn 89, Issue 1, 2000, Pages 69-79

On large deviations for SDEs with small diffusion and averaging

Author keywords

60F10; 60J60; Averaging; Large deviations; SDE; Small perturbation

Indexed keywords


EID: 0041914537     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(00)00013-2     Document Type: Article
Times cited : (73)

References (15)
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  • 3
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    • (in Russian)
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  • 4
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    • (1999) Stochastic Process. Appl. , vol.82 , pp. 23-52
    • Freidlin, M.I.1    Sowers, R.B.2
  • 9
    • 0012862641 scopus 로고    scopus 로고
    • Large deviations for two scaled diffusions
    • Liptser R.Sh. Large deviations for two scaled diffusions. Probab. Theory related Fields. 106:1996;71-104.
    • (1996) Probab. Theory Related Fields , vol.106 , pp. 71-104
    • Liptser, R.sh.1
  • 10
    • 21444455653 scopus 로고
    • Large deviations for solutions of stochastic equations
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    • (1995) Theory Probab. Appl. , vol.40 , Issue.4 , pp. 660-678
    • Makhno, S.ya.1
  • 11
    • 0041605811 scopus 로고
    • On large deviations in averaging principle for stochastic differential equations with periodic coefficients
    • In: Grigelionis B. et al. (Eds.), 1. Mokslas, Vilnius, Lithuania, and VSP, Utrecht, The Netherlands
    • Veretennikov, A.Yu., 1990. On large deviations in averaging principle for stochastic differential equations with periodic coefficients. In: Grigelionis B. et al. (Eds.), 1. Probability Theory and Mathematical Statistics Proceedings of the Fifth Vilnius Conference, Mokslas, Vilnius, Lithuania, and VSP, Utrecht, The Netherlands, Vol. 2, 1989, pp. 542-551.
    • (1989) Probability Theory and Mathematical Statistics Proceedings of the Fifth Vilnius Conference , vol.2 , pp. 542-551
    • Veretennikov, A.Yu.1
  • 12
    • 0009303790 scopus 로고
    • On large deviations in the averaging principle for stochastic differential equations with periodic coefficients
    • Veretennikov A.Yu. On large deviations in the averaging principle for stochastic differential equations with periodic coefficients. 2. Math. USSR Izvestiya. 39(1):1992;677-701.
    • (1992) 2. Math. USSR Izvestiya , vol.39 , Issue.1 , pp. 677-701
    • Veretennikov, A.yu.1
  • 13
    • 0009223930 scopus 로고
    • Large deviations in averaging principle for stochastic differential equation systems (noncompact case)
    • Veretennikov A.Yu. Large deviations in averaging principle for stochastic differential equation systems (noncompact case). Stochastics Stochastics Rep. 48:1994;83-96.
    • (1994) Stochastics Stochastics Rep. , vol.48 , pp. 83-96
    • Veretennikov, A.yu.1
  • 14
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    • Lower bound for large deviations for an averaged SDE with a small diffusion
    • Veretennikov A.Yu. Lower bound for large deviations for an averaged SDE with a small diffusion. Russian J. Math. Phys. 5(1):1997;99-104.
    • (1997) Russian J. Math. Phys. , vol.5 , Issue.1 , pp. 99-104
    • Veretennikov, A.yu.1
  • 15
    • 0033243135 scopus 로고    scopus 로고
    • On large deviations in the averaging principle for SDE's with a "full dependence"
    • Veretennikov A.Yu. On large deviations in the averaging principle for SDE's with a "full dependence" Ann. Probab. 27(1):1999;284-296.
    • (1999) Ann. Probab. , vol.27 , Issue.1 , pp. 284-296
    • Veretennikov, A.yu.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.